期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 363, 期 -, 页码 -出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.112844
关键词
Reduced Order Model (ROM); Finite element method; Variational Multi-Scale method (VMS); Hyper-reduction; Proper Orthogonal Decomposition (POD)
资金
- COLCIENCIAS, from the Colombian Government
- ICREA Academia Research Program, from the Catalan Government
In this paper we present a Variational Multi-Scale stabilized formulation for a general projection-based Reduced Order Model. In the stabilized formulation we address techniques already analysed in Variational Multi-Scale-Finite Element methods: time-dependent subscales, non-linearity in the subscales approximation and orthogonality between the solution space and the subscale space. Additionally, we describe a mesh based hyper-Reduced Order Model technique and implement a Petrov- Galerkin projection technique. At the end of the article, we test the proposed Reduced Order Model formulation using the incompressible Navier-Stokes problem. (C) 2020 Elsevier B.V. All rights reserved.
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